Statistical Mechanics of Neural Networks

Statistical Mechanics of Neural Networks Proceedings of the Xlth Sitges Conference Sitges, Barcelona, Spain, 3–7 June 1990 / [electronic resource] : edited by Luis Garrido. - VI, 477 p. online resource. - Lecture Notes in Physics, 368 0075-8450 ; . - Lecture Notes in Physics, 368 .

On the statistical-mechanical formulation of neural networks -- Model neurons: From Hodgkin-Huxley to hopfield -- Statistical mechanics for networks of analog neurons -- Properties of neural networks with multi-state neurons -- Adaptive recurrent neural networks and dynamic stability -- Neuronal oscillators: Experiments and models -- Neuronal networks in the hippocampus involved in memory -- Basins of attraction and spurious states in neural networks -- Tailoring the performance of attractor neural networks -- Learning and optimization -- Statistical dynamics of learning -- Learning and retrieving marked patterns -- Learning algorithm for binary synapses -- Statistical mechanics of the perceptron with maximal stability -- Simulation and hardware implementation of competitive learning neural networks -- Learning in multilayer networks: A geometric computational approach -- Storage capacity of diluted neural networks -- Dynamics and storage capacity of neural networks with sign-constrained weights -- The neural basis of the locomotion of nematodes -- Reversibility in neural processing systems -- Lyapunov functional for neural networks with delayed interactions and statistical mechanics of temporal associations -- Semi-local signal processing in the visual system -- Statistical mechanics and error-correcting codes -- Synergetic computers — An alternative to neurocomputers -- Dynamics of the Kohonen map -- Equivalence between connectionist classifiers and logical classifiers -- On Potts-glass neural networks with biased patterns -- Ising-spin neural networks with spatial structure -- Kinetically disordered lattice systems -- A programming system for implementing neural nets -- An auto-augmenting neural network architecture for diagnostic reasoning -- Formal integrators and neural networks -- Disordered models of acquired dyslexia -- Higher order memories in optimally structured neural networks -- Random Boolean networks for autoassociative memory: Optimization and sequential learning.

Combined for researchers and graduate students the articles from the Sitges Summer School together form an excellent survey of the applications of neural-network theory to statistical mechanics and computer-science biophysics. Various mathematical models are presented together with their interpretation, especially those to do with collective behaviour, learning and storage capacity, and dynamical stability.

9783540468080

10.1007/3-540-53267-6 doi


Thermodynamics.
Artificial intelligence.
Statistical physics.
Thermodynamics.
Complex Systems.
Artificial Intelligence.
Statistical Physics and Dynamical Systems.

QC310.15-319

536.7
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